1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elina [12.6K]
3 years ago
13

Use the distributive property to express 28+42

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0
To express the sum of two numbers using distributive property, we factor out the highest common factor (HCF) of the two numbers (i.e. the greatest number that can divide the two numbers without remainder)

28 = 2 x 2 x 7
42 = 2 x 3 x 7

The HCF of 28 and 42 is given by 2 x 7 = 14

Therefore, we express 28 + 42 using distributive property thus: 14(2 + 3)
You might be interested in
The graph of f ′(x) is continuous and increasing with an x-intercept at x = 5. Which of the following statements must be true?
Cerrena [4.2K]

Answer:

w

Step-by-step explanation:

5 0
2 years ago
Solve 3x2 = −12x − 15.<br><br> x = −4 ± 2i<br> x = −4 ± i<br> x = −2 ± 2i<br> x = −2 ± i
diamong [38]
ANSWER

x = - 2 \pm i

EXPLANATION

We use the method of completing the squares.

The equation is
3 {x}^{2} = - 12x - 15

We rewrite the above equation to obtain;

3 {x}^{2} + 12x = - 15

We divide through by 3 to obtain;

{x}^{2} + 4x = - 5

We add half the coefficient of
x

to both sides of the equation to get,

{x}^{2} + 4x + {2}^{2} = - 5 + {2}^{2}

The right hand side is now a perfect square.

{(x + 2)}^{2} = - 1

We now take square root of both sides to get;

x + 2 = \pm \sqrt{ - 1}

We add -2 to both sides,

x = - 2 \pm \sqrt{ - 1}

We simplify to obtain,

x = - 2 \pm i
3 0
3 years ago
Write an equivalent<br> expression<br> - 4(5 + 7g)
gregori [183]
Answer:
-4(5 + 7g) = -28g -20
4 0
3 years ago
A bakery wants to determine how many trays of doughnuts it should prepare each day. Demand is normal with a mean of 5 trays and
Alexeev081 [22]

Answer:

4 trays should he prepared, if the owner wants a service level of at least 95%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5

Standard Deviation, σ = 1

We are given that the distribution of demand score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X > x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X > x)  

P( X > x) = P( z > \displaystyle\frac{x - 5}{1})=0.95  

= 1 -P( z \leq \displaystyle\frac{x - 5}{1})=0.95  

=P( z \leq \displaystyle\frac{x - 5}{1})=0.05  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 5}{1} = -1.645\\x = 3.355 \approx 4  

Hence,  4 trays should he prepared, if the owner wants a service level of at least 95%.

3 0
3 years ago
A tin is a right circular cylinder with a diameter of 6 meters and a height of 10 meters. What is the surface area of this tin,
Alex777 [14]

Answer:

245.04

Step-by-step explanation:

A=2πrh+2πr2=2·π·3·10+2·π·32≈245.04423

Divide 6 by 2 to find the radius

5 0
3 years ago
Other questions:
  • You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pu
    13·1 answer
  • Sam deposits 12,500 each year into a retirement account with a %3 simple interest rate. If he deposits the same amount each year
    10·2 answers
  • On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 479 pounds and a standard deviati
    14·1 answer
  • Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
    8·2 answers
  • Is it Surface area or Lateral and then solve it
    8·1 answer
  • Evelyn can run 3 miles in 40 minutes
    6·1 answer
  • An investigation of the relationship between height of a child and age (in months) found that age explained 64% of the variation
    8·1 answer
  • To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the pe
    14·1 answer
  • I need the answer to this problem
    6·1 answer
  • Solve the problem.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!